5 papers
Maximization of Supercapacitor Storage via Topology Optimization of Electrode Structures
Jiajie Li, Xiang Ji, Shenggao Zhou +1
As widely used electrochemical storage devices, supercapacitors deliver higher power density than batteries, but suffer from significantly lower energy density. In this work, we pr…
Mean-field Modeling of Social Interactions Using Classical Density Functional Theory
Ziheng Xu, Shenggao Zhou
Incorporating social interactions is essential to an accurate modeling of epidemic spreading. This work proposes a novel local mean-field density functional theory model by using t…
Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage
Jiajie Li, Shenggao Zhou, Shengfeng Zhu
We build a new mathematical model of shape optimization for maximizing ionic concentration governed by the multi-physical coupling steady-state Poisson-Nernst-Planck system. Shape…
Entropy Increasing Numerical Methods for Prediction of Reversible and Irreversible Heating in Supercapacitors
Jie Ding, Xiang Ji, Shenggao Zhou
Accurate characterization of entropy plays a pivotal role in capturing reversible and irreversible heating in supercapacitors during charging/discharging cycles. However, numerical…
A second-order accurate, original energy dissipative numerical scheme for chemotaxis and its convergence analysis
Jie Ding, Cheng Wang, Shenggao Zhou
This paper proposes a second-order accurate numerical scheme for the Patlak-Keller-Segel system with various mobilities for the description of chemotaxis. Formulated in a variation…